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2201121300 = 2235278911777
BaseRepresentation
bin1000001100110010…
…0111001000010100
312200101210112210010
42003030213020110
514001441340200
61002225400220
7105355136160
oct20314471024
95611715703
102201121300
11a2a526014
12515199070
13291034b51
1416c48dca0
15cd38e150
hex83327214

2201121300 has 144 divisors (see below), whose sum is σ = 7360778880. Its totient is φ = 497418240.

The previous prime is 2201121269. The next prime is 2201121301. The reversal of 2201121300 is 31211022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201121301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 181012 + ... + 192788.

It is an arithmetic number, because the mean of its divisors is an integer number (51116520).

Almost surely, 22201121300 is an apocalyptic number.

2201121300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2201121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3680389440).

2201121300 is an abundant number, since it is smaller than the sum of its proper divisors (5159657580).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2201121300 is a wasteful number, since it uses less digits than its factorization.

2201121300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11890 (or 11883 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2201121300 is about 46916.1091737156. The cubic root of 2201121300 is about 1300.8123719263.

Adding to 2201121300 its reverse (31211022), we get a palindrome (2232332322).

The spelling of 2201121300 in words is "two billion, two hundred one million, one hundred twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 89 100 105 140 150 175 178 210 267 300 350 356 420 445 525 534 623 700 890 1050 1068 1246 1335 1780 1869 2100 2225 2492 2670 3115 3738 4450 5340 6230 6675 7476 8900 9345 11777 12460 13350 15575 18690 23554 26700 31150 35331 37380 46725 47108 58885 62300 70662 82439 93450 117770 141324 164878 176655 186900 235540 247317 294425 329756 353310 412195 494634 588850 706620 824390 883275 989268 1048153 1177700 1236585 1648780 1766550 2060975 2096306 2473170 3144459 3533100 4121950 4192612 4946340 5240765 6182925 6288918 7337071 8243900 10481530 12365850 12577836 14674142 15722295 20963060 22011213 24731700 26203825 29348284 31444590 36685355 44022426 52407650 62889180 73370710 78611475 88044852 104815300 110056065 146741420 157222950 183426775 220112130 314445900 366853550 440224260 550280325 733707100 1100560650 2201121300